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PERTURBATION OF A_0 ~+h
引用本文:曹卫平,马吉溥. PERTURBATION OF A_0 ~+h[J]. 高等学校计算数学学报(英文版), 1994, 0(1)
作者姓名:曹卫平  马吉溥
作者单位:Cao Wei-ping Department of Mathematics,Nanjing University,Nanjing 210008,PRC.Ma Ji-pu Department of Mathematics,Nanjing University,Nanjing 210008,PRC.
摘    要:Let Z be a topological space and mapping A2 :Z→B(H) with closed range R(A2 ) be continuous . Some necessary and sufficient conditions of the continuity of M-P inverses A z+ are given in [1], [2]. It is one of them that AZ+ is continuous if ana only if AZ+ is locallybounded. In this paper, we discuss the following problem: if limA n = A0 in B(H) and ||An+||is unbounded (i.e. the above necessary and sufficient condition fails), what h in H will make the equations: limAm+ h = A0+ h or w-limAn+ h= A 0+ h be true. For this purpose three theorems and an error estimation are given in this paper.


PERTURBATION OF A_0 ~+h
Cao Wei-ping. PERTURBATION OF A_0 ~+h[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1994, 0(1)
Authors:Cao Wei-ping
Affiliation:Cao Wei-ping Department of Mathematics,Nanjing University,Nanjing 210008,PRC.Ma Ji-pu Department of Mathematics,Nanjing University,Nanjing 210008,PRC.
Abstract:
Keywords:Generalized inverse   pertubation.
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